Q20) A market research group conducted a survey of 60 consumers and reported that 32 consumers like product A,21 consumers like product B and 11 consumers like both the products A and B, then number of consumers who like neither product A nor product B are (a) 42 (b) 20 (c)18 (d)28
Answers
A is the answer I think I
Step-by-step explanation:
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Given : A market research group conducted a survey of 60 consumers reported that
32 consumers like product A,
21 consumers like product B and
11 consumers like both the products A and B,
To find : number of consumers who like neither product A nor product B
(a) 42 (b) 20 (c)18 (d)28
Solution:
Total = 60
A = 32
B = 21
A ∩ B = 11
None = A' ∩ B' = ?
A U B= A + B - A ∩ B
=> A U B= 32 + 21 - 11
=> A U B= 42
( A U B)' = Total - A U B
=> ( A U B)' = 60 - 42 = 18
number of consumers who like neither product A nor product B
A' ∩ B' = ( A U B)' = 18
or
Total = A + B - A ∩ B + None
=> 60 = 32 + 21 - 11 + None
=> None = 18
18 consumers like neither product A nor product B
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